Heinrich Jacobson †

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$n$-Array Jacobson graphs

We generalize the notion of Jacobson graphs into $n$-array columns called $n$-array Jacobson graphs and determine their connectivities and diameters. Also, we will study forbidden structures of these graphs and determine when an $n$-array Jacobson graph is planar, outer planar, projective, perfect or domination perfect.

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Distributive Lattices of Jacobson Rings

We characterize the distributive lattices of Jacobson rings and prove that if a semiring is a distributive lattice of Jacobson rings, then, up to isomorphism, it is equal to the subdirect product of a distributive lattice and a Jacobson ring. Also, we give a general method to construct distributive lattices of Jacobson rings.

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ژورنال

عنوان ژورنال: DMW - Deutsche Medizinische Wochenschrift

سال: 1890

ISSN: 0012-0472,1439-4413

DOI: 10.1055/s-0029-1207635